Differentialgleichungen und singuläre Mannigfaltigkeiten in der dynamischen Simulation von Rad—Schiene—Systemen

K. Frischmuth (), M. Arnold (), M. Hänler () and H. Netter
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K. Frischmuth: Universität Rostock, FB Mathematik
M. Arnold: Universität Rostock, FB Mathematik
M. Hänler: Universität Rostock, FB Mathematik
H. Netter: DLR, Institut für Robotik und Systemdynamik

A chapter in Mathematik Schlüsseltechnologie für die Zukunft, 1997, pp 331-342 from Springer

Abstract: Abstract Within the development of modern advanced railway vehicles the simulation tools require the efficient dynamical simulation of wheel-rail systems. In the present paper we concentrate on the formulation and numerical solution of geometrical conditions for wheel-rail contact in the framework of a multibody system (MBS) model. We analyse the classical rigid contact model that results in non-smooth constraints and in singularities in the solution of the MBS model equations. Motivated by the elastic deformation of wheel and rail a quasi-elastic contact model is developed as alternative. It regularizes the model equations and yields a smooth solution both without singularities and without high-frequency oscillations. We discuss implementations of this approach that are adapted to special needs in various applications. Finally, a short overview about the wheel-rail module of the MBS package SIMPACK is given. A case study illustrates an industrial application of the regularized contact model.

Date: 1997
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DOI: 10.1007/978-3-642-60550-5_28

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